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Finding the Fourth Proportional to 164,784.38, 227,182.52 and 130,905.32

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Solution

The fourth proportional to 164,784.38, 227,182.52 and 130,905.32 is: 180,474.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,784.38 : 227,182.52 = 130,905.32 : x
  2. Step 2: Convert to fraction form
    164,784.38/227,182.52 = 130,905.32/x
  3. Step 3: Cross multiply
    164,784.38x = 227,182.52 × 130,905.32
  4. Step 4: Simplify right side
    164,784.38x = 29,739,399,670.36
  5. Step 5: Solve for x
    x = 29,739,399,670.36/164,784.38
  6. Step 6: Final answer
    x = 180,474.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.